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arXiv · 1603.09688

A Matrix Model for Non-Abelian Quantum Hall States

Nick Dorey·David Tong·Carl Turner
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Abstract

We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU(p) spin. The ground states of the matrix model include spin-singlet generalisations of the Moore-Read and Read-Rezayi states and, in general, lie in a class previously introduced by Blok and Wen. The effective action for these states is a U(p) Chern-Simons theory. We show how the matrix model can be derived from quantisation of the vortices in this Chern-Simons theory and how the matrix model ground states can be reconstructed as correlation functions in the boundary WZW model.

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Nick Dorey, David Tong, Carl Turner. 2016-08-01. A Matrix Model for Non-Abelian Quantum Hall States. https://doi.org/10.1103/physrevb.94.085114

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